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- 1. Solving Multi-step Inequalities Ch 6 lesson 2
- 2. Review <ul><li>Solve for m </li></ul>
- 4. What’s the Deal? <ul><li>In today’s lesson we will solve multi-step inequalities and graph them using a number line. </li></ul><ul><li>These will be similar to the multi-step equations that we worked through n Unit Three. </li></ul>
- 5. Back to Unit Three, But with an Inequality This should look similar to your first equation. The greater than sign replaces the equal sign.
- 6. Work the algebra problem just like you would with the = sign <ul><li>Divide negative 1 from both sides </li></ul><ul><li>The answer shows that any number greater than 9 will make a true statement. </li></ul>
- 7. Fun with graphing <ul><li>We can use a number line to show all the numbers that work for m . </li></ul>-6 -4 -2 0 +2 +4 +6
- 8. Graph x >9 <ul><li>Start with the number line </li></ul><ul><li>Put an open circle on 5.85 </li></ul><ul><li>Fill in everything to greater than 5.85. </li></ul>-6 -4 -2 0 +2 +4 +6
- 9. OR Graph x >9 <ul><li>Start with the number line </li></ul><ul><li>You only need to mark 9 </li></ul><ul><li>Put an open circle on 9 </li></ul><ul><li>Fill in everything to greater than 9. </li></ul>9
- 10. Work the multi-step algebra problem just like you would with the = sign, then graph. -10 This isn't right!
- 11. Another twist to algebra -10 Whenever you multiply or divide BY A NEGATIVE NUMBER you must flip the inequality. Major Point!
- 12. Let’s check our work -10 Pick an number from the graphed answer set to see if this works. +10
- 13. Try one. Solve for x and graph the inequality. <ul><li>c + 7 < -11 </li></ul>
- 14. Solution <ul><li>c + 7 – 7 < -11 – 7 c + 0 < -18 </li></ul><ul><li>-18 </li></ul>
- 15. Greater than or equal to has a closed circle. <ul><li>Graph </li></ul>-3
- 16. Check your work. <ul><li>Could 10 be a solution for x? </li></ul>-3 Ten is part of the graphed solution +10
- 17. Summary <ul><li>Solving inequalities is similar to solving other algebraic equations. </li></ul><ul><li>Use open circles for greater than (>) or less than (<). </li></ul><ul><li>Use closed circles to show less-than-or equal-to and greater-than-or-equal-to . </li></ul>
- 18. Assignment: pg. 280 :15 – 29; 36-37; 43, 45

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